| William Thomas Brande, George William Cox - 1867
...granted. Euclid has constructed his Elements on the three following postulates: 1. That a straight **line may be drawn from any one point to any other point.** 2. That a terminated straight line may be produced to any length in a straight line. 3. That a circle... | |
| William Thomas Brande, George William Cox - 1867
...granted. Euclid lias constructed his Elements on the three following postulates: 1. That a straight **line may be drawn from any one point to any other point.** 2. That a terminated straight lino may be produced to any length in a straight line. 3. That a circle... | |
| Euclid, Isaac Todhunter - 1867 - 400 sider
...convenient if this restriction were universally adopted.] POSTULATES. Let it be granted, 1. That a straight **line may be drawn from any one point to any other point** : 2. That a terminated straight line may be produced to any length in a straight line : 3. And that... | |
| Horatio Nelson Robinson - 1868 - 262 sider
...the solution of which ia belf evident. POSTULATES. Let it be granted — I. That a straight line can **be drawn from any one point to any other point ; II. That a** straight line can be produced to any distance, or terminated at any point ; III. That the circumference... | |
| Robert Potts - 1868 - 410 sider
...straight liue joining two of its opposite angles. POSTULATES. I. LET it be granted that a straight **line may be drawn from any one point to any other point.** IL That a terminated straight line may be produced to any length in a straight line. m. AXIOMS. I.... | |
| James Smith - 1870
...1) should be based upon the simplest of the postulates, viz. : " Let it be granted, that a straight **line may be drawn from any one point to any other point"** Thus, Euclid begins by showing us how to construct an equilateral triangle. There can be no doubt that... | |
| Euclides - 1871
...figures and the properties of geometrical mag--tudes. POSTULATES. Let it be granted I. That a straight **line may be drawn from any one point to any other point. II. That a terminated** straight line may be produced to any length in a straight line. III. That a circle may be described... | |
| Elias Loomis - 1871 - 58 sider
...which is contained an exact number of times in each of them. BOOK V PROBLEMS Postulates. 1 A a'.raight **line may be drawn from any one point to any other point.** 2. A terminated straight line may be produced to any length in a straight line. 3. From the greater... | |
| Euclides, James Hamblin Smith - 1872 - 349 sider
...figures and the prqperties pf geometrical magnitudes. POSTULATES. Let it be granted I. That a straight **line may be drawn from any one point to any other point. II. That a terminated** straight line may be produced to any length in a straight line. III. That a circle may be described... | |
| Henry Major - 1873
...XXXV. Parallel straight lines are such as are in the same plane, and which, being produced ever so **far both ways, do not meet. POSTULATES. I. Let it be granted that a** straight line may be drawn from any one point to any other point. II. That a terminated straight line... | |
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